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1918944 = 25332221
BaseRepresentation
bin111010100011111100000
310121111022000
413110133200
5442401234
6105044000
722211406
oct7243740
93544260
101918944
1110a0805
12786600
13522591
1437d476
1527d899
hex1d47e0

1918944 has 48 divisors (see below), whose sum is σ = 5599440. Its totient is φ = 639360.

The previous prime is 1918933. The next prime is 1918967. The reversal of 1918944 is 4498191.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1918899 and 1918908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 1974.

It is an arithmetic number, because the mean of its divisors is an integer number (116655).

21918944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799720).

1918944 is an abundant number, since it is smaller than the sum of its proper divisors (3680496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1918944 is a wasteful number, since it uses less digits than its factorization.

1918944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2226 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1918944 is about 1385.2595424685. The cubic root of 1918944 is about 124.2665096877.

The spelling of 1918944 in words is "one million, nine hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2221 4442 6663 8884 13326 17768 19989 26652 35536 39978 53304 59967 71072 79956 106608 119934 159912 213216 239868 319824 479736 639648 959472 1918944